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36082661 is a prime number
BaseRepresentation
bin1000100110100…
…1001111100101
32111220012002212
42021221033211
533214121121
63325213205
7615461156
oct211511745
974805085
1036082661
111940548a
1210101205
1376247b4
144b1392d
15327b25b
hex22693e5

36082661 has 2 divisors, whose sum is σ = 36082662. Its totient is φ = 36082660.

The previous prime is 36082621. The next prime is 36082663. The reversal of 36082661 is 16628063.

36082661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33570436 + 2512225 = 5794^2 + 1585^2 .

It is a cyclic number.

It is not a de Polignac number, because 36082661 - 218 = 35820517 is a prime.

Together with 36082663, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36082663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18041330 + 18041331.

It is an arithmetic number, because the mean of its divisors is an integer number (18041331).

Almost surely, 236082661 is an apocalyptic number.

It is an amenable number.

36082661 is a deficient number, since it is larger than the sum of its proper divisors (1).

36082661 is an equidigital number, since it uses as much as digits as its factorization.

36082661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 36082661 is about 6006.8844670095. The cubic root of 36082661 is about 330.4452544924.

The spelling of 36082661 in words is "thirty-six million, eighty-two thousand, six hundred sixty-one".